Question

In a right angled triangle one angle is ${30}^{\circ }$. Then the side opposite to it is

• A. Half of the hypotenuse
• B. Two third of the hypotenuse
• C. One third of the hypotenuse
• D. One sixth of the hypotenuse

Answer 1

The correct option is A Half of the hypotenuse

Let the hypotenuse be $AC=x$

side opposite to hypotenuse is $AB$

In $△ABC$

$sin{30}^{\circ }=\frac{AB}{AC}$

$\frac{1}{2}=\frac{AB}{x}$

$AB=\frac{x}{2}$

which is half of hypotenuse.